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Numerical analysis of a stabilized finite element method for tracer injection simulations

机译:示踪剂注入模拟的稳定有限元方法的数值分析

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To solve a system of partial differential equations that models tracer injection processes in oil reservoirs we use a post-processing technique to compute an accurate approximation for the velocity field and a stabilized finite element method (SUPG) for the spatiaI approximation of the tracer concentration combined with a backward finite difference discretization in time. Stability, convergence and error estiinates are achieved. Numerical results for homogeneous and heterogeneous media are presented illustrating the performance of the proposed methodology.
机译:为了解决一个偏微分方程组的模型,该模型对油藏中示踪剂注入过程进行建模,我们使用后处理技术来计算速度场的精确近似值,并使用稳定有限元方法(SUPG)来组合示踪剂浓度的空间近似值时间上的后向有限差分离散化。实现了稳定性,收敛性和误差估计。给出了均质和非均质介质的数值结果,说明了所提出方法的性能。

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